If the coupling \(g_X\)  is stronger than the critical coupling \(g_c=\sqrt{8\pi ^2/N}\) , the story changes dramatically. The strong dynamics will lead to a nontrivial VEV for \(H_t\) , which not only triggers EW symmetry breaking (EWSB) but also generates the top mass directly. It was first studied in the Top Quark Condensation model [1]}, [2]}, [3]}. This type of model aims to explain EWSB using the VEV of \(H_t\) , but has been ruled out due to the prediction of a heavy top quark with \(m_t \sim 600\)  GeV. In our case, the SM Higgs should be responsible for EWSB and the top quark mass so the VEV of top-Higgs needs to be small.
